The best sextic approximation of hyperbola with order twelve

Abedallah Rababah; Esra'a Rababah

doi:10.11591/ijece.v10i2.pp2192-2199

The best sextic approximation of hyperbola with order twelve

Abedallah Rababah, Esra'a Rababah

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this article, the best uniform approximation for the hyperbola of degree 6 that has approximation order 12 is found. The associated error function vanishes 12 times and equioscillates 13 times. For an arc of the hyperbola, the error is bounded by 2.4 × 10-⁴. We explain the details of the derivation and show how to apply the method. The method is simple and this encourages and motivates people working in CG and CAD to apply it in their works.

Original language	English
Pages (from-to)	2192-2199
Number of pages	8
Journal	International Journal of Electrical and Computer Engineering
Volume	10
Issue number	2
DOIs	https://doi.org/10.11591/ijece.v10i2.pp2192-2199
Publication status	Published - 2020

Keywords

Approximation
Approximation order
Equioscillation
High accuracy
Hyperbola
Sextic parametric

ASJC Scopus subject areas

Computer Science(all)
Electrical and Electronic Engineering

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10.11591/ijece.v10i2.pp2192-2199

Cite this

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title = "The best sextic approximation of hyperbola with order twelve",

abstract = "In this article, the best uniform approximation for the hyperbola of degree 6 that has approximation order 12 is found. The associated error function vanishes 12 times and equioscillates 13 times. For an arc of the hyperbola, the error is bounded by 2.4 × 10-4. We explain the details of the derivation and show how to apply the method. The method is simple and this encourages and motivates people working in CG and CAD to apply it in their works.",

keywords = "Approximation, Approximation order, Equioscillation, High accuracy, Hyperbola, Sextic parametric",

author = "Abedallah Rababah and Esra'a Rababah",

note = "Funding Information: The authors owe thanks for the reviewers for invaluable suggestions to improve an earlier version of this paper. This research was funded by Jordan University of Science and Technology. Publisher Copyright: Copyright {\textcopyright} 2020 Insitute of Advanced Engineeering and Science. All rights reserved.",

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N1 - Funding Information: The authors owe thanks for the reviewers for invaluable suggestions to improve an earlier version of this paper. This research was funded by Jordan University of Science and Technology. Publisher Copyright: Copyright © 2020 Insitute of Advanced Engineeering and Science. All rights reserved.

PY - 2020

Y1 - 2020

N2 - In this article, the best uniform approximation for the hyperbola of degree 6 that has approximation order 12 is found. The associated error function vanishes 12 times and equioscillates 13 times. For an arc of the hyperbola, the error is bounded by 2.4 × 10-4. We explain the details of the derivation and show how to apply the method. The method is simple and this encourages and motivates people working in CG and CAD to apply it in their works.

AB - In this article, the best uniform approximation for the hyperbola of degree 6 that has approximation order 12 is found. The associated error function vanishes 12 times and equioscillates 13 times. For an arc of the hyperbola, the error is bounded by 2.4 × 10-4. We explain the details of the derivation and show how to apply the method. The method is simple and this encourages and motivates people working in CG and CAD to apply it in their works.

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KW - High accuracy

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The best sextic approximation of hyperbola with order twelve

Abstract

Keywords

ASJC Scopus subject areas

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